Integral mean-square estimation of error terms of Fourier coefficients attached to cusp forms (Q6175461)

scientific article; zbMATH DE number 7715955

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English	Integral mean-square estimation of error terms of Fourier coefficients attached to cusp forms	scientific article; zbMATH DE number 7715955

Statements

instance of

scholarly article

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title

Integral mean-square estimation of error terms of Fourier coefficients attached to cusp forms (English)

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author

Guodong Hua

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published in

Proceedings of the Indian Academy of Sciences. Mathematical Sciences

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publication date

24 July 2023

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zbMATH Keywords

Hecke eigenforms

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automorphic $L$-functions

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Langlands program

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s12044-023-00737-3

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cites work

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Level-raising and symmetric power functoriality. III.

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La conjecture de Weil. I

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Fourier coefficients of cusp forms and automorphic $L$-functions

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A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$

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On the Rankin-Selberg problem

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On Riesz means of the coefficients of the Rankin–Selberg series

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Cuspidality of symmetric powers with applications.

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Functorial products for $\text{GL}_2\times \text{GL}_3$ and the symmetric cube for $\text{GL}_2$.

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Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂

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On the mean-square of the error term related to $\sum_{n\leq x} \lambda^2 (n^j)$

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Integral mean square estimation for the error term related to $\sum_{n\leq x}\lambda ^2 (n^2)$

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Sign changes and nonvanishing of Fourier coefficients of holomorphic cusp forms

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SUMS OF FOURIER COEFFICIENTS OF CUSP FORMS

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Perron's formula and the prime number theorem for automorphic $L$-functions

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Asymptotics for the Dirichlet coefficients of symmetric power $L$-functions

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Symmetric power functoriality for holomorphic modular forms

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Symmetric power functoriality for holomorphic modular forms. II.

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Zeros of principal $L$-functions and random matrix theory

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On Certain L-Functions

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Fourier Transforms of Intertwining Operators and Plancherel Measures for GL(n)

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Local coefficients as Artin factors for real groups

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A proof of Langlands' conjecture on Plancherel measures; complementary series for $p$-adic groups

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Q4733917

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Power sums of Hecke eigenvalues and application

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Identifiers

zbMATH Open document ID

1523.11069

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DOI

10.1007/s12044-023-00737-3

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6175461